Users' Mathboxes Mathbox for Scott Fenton < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-domain Structured version   Unicode version

Definition df-domain 25711
Description: Define the domain function. See brdomain 25778 for its value. (Contributed by Scott Fenton, 11-Apr-2014.)
Assertion
Ref Expression
df-domain  |- Domain  = Image ( 1st  |`  ( _V  X.  _V ) )

Detailed syntax breakdown of Definition df-domain
StepHypRef Expression
1 cdomain 25687 . 2  class Domain
2 c1st 6347 . . . 4  class  1st
3 cvv 2956 . . . . 5  class  _V
43, 3cxp 4876 . . . 4  class  ( _V 
X.  _V )
52, 4cres 4880 . . 3  class  ( 1st  |`  ( _V  X.  _V ) )
65cimage 25684 . 2  class Image ( 1st  |`  ( _V  X.  _V ) )
71, 6wceq 1652 1  wff Domain  = Image ( 1st  |`  ( _V  X.  _V ) )
Colors of variables: wff set class
This definition is referenced by:  brdomain  25778
  Copyright terms: Public domain W3C validator